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On the role of the viscosity ratio on buoyant miscible jet flows

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Abstract

In this work, we perform a series of experiments to study a buoyant miscible jet flow wherein a heavy fluid is injected vertically downward into a more viscous light ambient fluid. The injection flow occurs in a large rectangular tank, representing an unbounded environment. Using non-intrusive experimental methods, including high-speed camera imaging, Ultrasound Doppler Velocimetry (UDV) and Planar Laser Induced Fluorescence (PLIF), we analyze the flow characteristics versus the governing dimensionless numbers of the flow, including the Reynolds number (Re) and the viscosity ratio (m), at a constant Archimedes number (Ar). We mainly focus on the effects of \(m\gtrsim 1\) on different flow behaviours of our buoyant jets. We identify three distinct flow regimes, i.e. a jellyfish regime, a funnel regime and a cone regime, and quantify their transition boundaries versus the flow dimensionless numbers. Our results show that increasing m can enhance the jet instability in the jellyfish regime; however, in the funnel regime, increasing m stabilizes the jet. Furthermore, m does not seem to significantly affect the jet characteristics at large Re.

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References

  1. Achang M, Yanyao L, Radonjic M (2020) A review of past, present, and future technologies for permanent plugging and abandonment of wellbores and restoration of subsurface geologic barriers. Environ Eng Sci 37(6):395–408

    Article  Google Scholar 

  2. Ai J, Law AW, Yu S (2006) On Boussinesq and non-Boussinesq starting forced plumes. J Fluid Mech 558:357–386

    Article  Google Scholar 

  3. Akbari S, Taghavi SM (2020) Injection of a heavy fluid into a light fluid in a closed-end pipe. Phys Fluids 32(6):063302

    Article  Google Scholar 

  4. Akbari S, Taghavi SM (2021) Fluid experiments on the dump bailing method in the plug and abandonment of oil and gas wells. J Pet Sci Eng 205:108920

    Article  Google Scholar 

  5. Alba K, Taghavi SM, Frigaard IA (2013) Miscible density-unstable displacement flows in inclined tube. Phys Fluids 25(6):067101

    Article  Google Scholar 

  6. Alboiu V, Walker TR (2019) Pollution, management, and mitigation of idle and orphaned oil and gas wells in Alberta. Canada Environ Monit Assess 191(10):1–16

    Google Scholar 

  7. Ariono D, Purwasasmita M, Wenten IG (2016) Brine effluents: Characteristics, environmental impacts, and their handling. J Eng Technol 48(4):

  8. Awbi HB (2003) Ventilation of buildings, 2nd edn. Taylor & Francis Library

  9. Bagheri B, Karimi-Jashni A, Zerafat MM (2021) Application of molasses as draw solution in forward osmosis desalination for fertigation purposes. Environ Technol 42(5):764–774

    Article  Google Scholar 

  10. Benítez AJR, Díaz CÁ, Gómez AG, García-Alba J (2018) Methodological approaches for delimitating mixing zones in rivers: establishing admissibility criteria and flow regime representation. Environ Fluid Mech 18(5):1227–1256

    Article  Google Scholar 

  11. Birkhoff G (2012) Jets, wakes, and cavities, vol 2. Elsevier, London

    Google Scholar 

  12. Blevins R.D (1984) Applied fluid dynamics handbook. Van Nostrand Reinhold Co

  13. Briens C, Elkolaly H, Berruti F, McMillan J (2017) Effect of interactions between spray jets on liquid distribution in a fluidized bed. Can J Chem Eng 95(4):680–687

    Article  Google Scholar 

  14. Brunone B, Berni A (2010) Wall shear stress in transient turbulent pipe flow by local velocity measurement. J Hydraul Eng 136(10):716–726

    Article  Google Scholar 

  15. Burridge HC, Hunt GR (2012) The rise heights of low-and high-Froude-number turbulent axisymmetric fountains. J Fluid Mech 691:392

    Article  Google Scholar 

  16. Burridge HC, Mistry A, Hunt GR (2015) The effect of source Reynolds number on the rise height of a fountain. Phys Fluids 27(4):047101

    Article  Google Scholar 

  17. Campbell IH, Turner JS (1985) Turbulent mixing between fluids with different viscosities. Nature 313(5997):39–42

    Article  Google Scholar 

  18. Carpenter C (2018) Isolation barriers with coiled tubing in plug-and-abandonment operations. J Pet Technol 70(06):53–55

    Article  Google Scholar 

  19. Chhabra S, Shipman TN, Prasad AK (2005) The entrainment behavior of a turbulent axisymmetric jet in a viscous host fluid. Exp Fluids 38(1):70–79

    Article  Google Scholar 

  20. Chowdhury MR, Testik FY (2014) A review of gravity currents formed by submerged single-port discharges in inland and coastal waters. Environ Fluid Mech 14(2):265–293

    Article  Google Scholar 

  21. Cintolesi C, Petronio A, Armenio V (2019) Turbulent structures of buoyant jet in cross-flow studied through large-eddy simulation. Environ Fluid Mech 19(2):401–433

    Article  Google Scholar 

  22. Dahikar SK, Sathe MJ, Joshi JB (2010) Investigation of flow and temperature patterns in direct contact condensation using PIV. PLIF and CFD Chem Eng Sci 65(16):4606–4620

    Article  Google Scholar 

  23. De Padova D, Mossa M, Sibilla S (2020) Characteristics of nonbuoyant jets in a wave environment investigated numerically by SPH. Environ Fluid Mech 20(1):189–202

    Article  Google Scholar 

  24. Debugne ALR, Hunt G (2018) The influence of spanwise confinement on round fountains. J Fluid Mech 845:263

    Article  Google Scholar 

  25. Denney D (2012) More-effective plug-and-abandonment cementing technique. J Pet Technol 64(05):132–135

    Article  Google Scholar 

  26. Eslami A, Mollaabbasi R, Roustaei A, Taghavi SM (2019) Pressure-driven displacement flows of yield stress fluids: Viscosity ratio effects. Can J Chem Eng 97(11):2804–2817

    Article  Google Scholar 

  27. Fischer HB, List JE, Koh CR, Imberger J, Brooks NH (1979) Mixing in inland and coastal waters. Academic press

  28. Friedman PD, Vadakoot VD, Meyer WJ, Carey S (2007) Instability threshold of a negatively buoyant fountain. Exp Fluids 42(5):751–759

    Article  Google Scholar 

  29. Fu H, Liu X, Li S (2017) Mixing indexes considering the combination of mean and dispersion information from intensity images for the performance estimation of micromixing. RSC Adv 7(18):10906–10914

    Article  Google Scholar 

  30. Gao F, Zhao L, Boufadel MC, King T, Robinson B, Conmy R, Miller R (2017) Hydrodynamics of oil jets without and with dispersant: experimental and numerical characterization. Appl Ocean Res 68:77–90

    Article  Google Scholar 

  31. Gharavi A, Mohammadian A, Nistor I, Peña E, Anta J (2020) Experimental study of surface buoyant jets in crossflow. Environ Fluid Mech 20(4):1007–1030

    Article  Google Scholar 

  32. Govindarajan R, Sahu KC (2014) Instabilities in viscosity-stratified flow. Annu Rev Fluid Mech 46:331–353

    Article  Google Scholar 

  33. Guo HF, Gao L, Yu SCM (2020) Vortex formation in starting buoyant jets at moderate Richardson numbers. Phys Fluids 32(11):117107

    Article  Google Scholar 

  34. Hassanzadeh H, Eslami A, Taghavi SM (2021) Positively buoyant jets: semiturbulent to fully turbulent regimes. Phys Rev Fluids 6:054501

    Article  Google Scholar 

  35. Hejazian M, Darmanin C, Balaur E, Abbey B (2020) Mixing and jetting analysis using continuous flow microfluidic sample delivery devices. RSC Adv 10(27):15694–15701

    Article  Google Scholar 

  36. Horner-Devine AR, Hetland RD, MacDonald DG (2015) Mixing and transport in coastal river plumes. Annu Rev Fluid Mech 47:569–594

    Article  Google Scholar 

  37. Hussein HJ, Capp SP, George WK (1994) Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet. J Fluid Mech 258:31–75

    Article  Google Scholar 

  38. Jirka G.H (2004) Integral model for turbulent buoyant jets in unbounded stratified flows. part i: single round jet. Environ. Fluid Mech 4(1):1–56

    Article  Google Scholar 

  39. Kitamura S, Sumita I (2011) Experiments on a turbulent plume: Shape analyses. J Geophys Res Solid Earth 116(B3)

  40. Kwon SJ, Seo IW (2005) Reynolds number effects on the behavior of a non-buoyant round jet. Exp Fluids 38(6):801–812

    Article  Google Scholar 

  41. Lai CCK, Lee JHW (2014) Initial mixing of inclined dense jet in perpendicular crossflow. Environ Fluid Mech 14(1):25–49

    Article  Google Scholar 

  42. Landel JR, Caulfield CP, Woods AW (2012) Streamwise dispersion and mixing in quasi-two-dimensional steady turbulent jets. J Fluid Mech 711:212

    Article  Google Scholar 

  43. Landel JR, Wilson DI (2021) The fluid mechanics of cleaning and decontamination of surfaces. Annu Rev Fluid Mech 53:1

  44. Lattemann S, Höpner T (2008) Environmental impact and impact assessment of seawater desalination. Desalination 220(1–3):1–15

    Article  Google Scholar 

  45. Lee J.H, Chu V (2012) Turbulent jets and plumes: a Lagrangian approach. Springer, Newyork

    Google Scholar 

  46. Lee K, Jepson W (2021) Environmental impact of desalination: a systematic review of life cycle assessment. Desalination 509:115066

    Article  Google Scholar 

  47. Lemanov VV, Terekhov VI, Sharov KA, Shumeiko AA (2013) An experimental study of submerged jets at low Reynolds numbers. Tech Phys Lett 39(5):421–423

    Article  Google Scholar 

  48. List EJ (1982) Mechanics of turbulent buoyant jets and plumes. In: Turbulent buoyant jets and plumes. Elsevier, London

  49. Liu RH, Stremler MA, Sharp KV, Olsen MG, Santiago JG, Adrian RJ, Aref H, Beebe DJ (2000) Passive mixing in a three-dimensional serpentine microchannel. J Microelectromech Syst 9(2):190–197

    Article  Google Scholar 

  50. Marmorino G, Evans T (2021) Interpreting patterns of concentric rings within small buoyant river plumes. Remote Sens 13(7):1361

    Article  Google Scholar 

  51. McNaughton KJ, Sinclair CG (1966) Submerged jets in short cylindrical flow vessels. J Fluid Mech 25(2):367–375

    Article  Google Scholar 

  52. Meftah MB, Malcangio D, De Serio F, Mossa M (2018) Vertical dense jet in flowing current. Environ Fluid Mech 18(1):75–96

    Article  Google Scholar 

  53. Mi JB, Kalt P, Nathan GJ, Wong CY (2007) PIV measurements of a turbulent jet issuing from round sharp-edged plate. Exp Fluids 42(4):625–637

    Article  Google Scholar 

  54. Milione M, Zeng C (2008) The effects of temperature and salinity on population growth and egg hatching success of the tropical calanoid copepod. Acartia sinjiensis Aquaculture 275(1–4):116–123

    Article  Google Scholar 

  55. Moeinikia F, Ford EP, Lohne HP, Arild O, Mansouri M, Fjelde KK (2018) Leakage calculator for plugged-and-abandoned wells. SPE Prod Oper 33(04):790–801

    Google Scholar 

  56. Nikiforakis IK, Stamou AI, Christodoulou GC (2017) Integrated modeling of single port brine discharges into unstratified stagnant ambient. Environ Fluid Mech 17(2):247–275

    Article  Google Scholar 

  57. Pakdel MJV, Sohrabi F, Mohammadi-Ivatloo B (2020) Multi-objective optimization of energy and water management in networked hubs considering transactive energy. J Clean Prod 266:121936

    Article  Google Scholar 

  58. Pantzlaff L, Lueptow RM (1999) Transient positively and negatively buoyant turbulent round jets. Exp Fluids 27(2):117–125

    Article  Google Scholar 

  59. Plourde F, Pham MV, Kim SD, Balachandar S (2008) Direct numerical simulations of a rapidly expanding thermal plume: structure and entrainment interaction. J Fluid Mech 604:99–123

    Article  Google Scholar 

  60. Rahimi M, Shahhosseini S, Sobati MA, Movahedirad S, Khodaei B, Hassanzadeh H (2019) A novel multi-probe continuous flow ultrasound assisted oxidative desulfurization reactor; experimental investigation and simulation. Ultrason Sonochem 56:264–273

    Article  Google Scholar 

  61. Redapangu PR, Sahu KC, Vanka SP (2012) A study of pressure-driven displacement flow of two immiscible liquids using a multiphase lattice Boltzmann approach. Phys Fluids 24(10):102110

    Article  Google Scholar 

  62. Roberts DA, Johnston EL, Knott NA (2010) Impacts of desalination plant discharges on the marine environment: a critical review of published studies. Water Res 44(18):5117–5128

    Article  Google Scholar 

  63. Robinson D, Wood M, Piggott M, Gorman G (2016) CFD modelling of marine discharge mixing and dispersion. J Appl Water Eng Res 4(2):152–162

    Article  Google Scholar 

  64. Saeedi M, Farahani AA, Abessi O, Bleninger T (2012) Laboratory studies defining flow regimes for negatively buoyant surface discharges into crossflow. Environ Fluid Mech 12(5):439–449

    Article  Google Scholar 

  65. Shin D, Aspden AJ, Richardson ES (2017) Self-similar properties of decelerating turbulent jets. J Fluid Mech: 833(1):1

  66. Sreenivas KR, Prasad AK (2000) Vortex-dynamics model for entrainment in jets and plumes. Phys Fluids 12(8):2101–2107

    Article  Google Scholar 

  67. Talbot B, Danaila L, Renou B (2013) Variable-viscosity mixing in the very near field of a round jet. Phys Scr 2013(T155):014006

    Article  Google Scholar 

  68. Tokuhiro A, Kimura N (1999) An experimental investigation on thermal striping: Mixing phenomena of a vertical non-buoyant jet with two adjacent buoyant jets as measured by ultrasound Doppler velocimetry. Nucl Eng Des 188(1):49–73

    Article  Google Scholar 

  69. Trudel E, Bizhani M, Zare M, Frigaard IA (2019) Plug and abandonment practices and trends: a British Columbia perspective. J Pet Sci Eng 183:106417

    Article  Google Scholar 

  70. Tveit MR, Khalifeh M, Nordam T, Saasen A (2021) The fate of hydrocarbon leaks from plugged and abandoned wells by means of natural seepages. J Pet Sci Eng 196:108004

    Article  Google Scholar 

  71. Voivenel L, Danaila L, Varea E, Renou B, Cazalens M (2016) On the similarity of variable viscosity flows. Phys Scr 91(8):084007

    Article  Google Scholar 

  72. Vrålstad T, Saasen A, Fjær E, Øia T, Ytrehus JD, Khalifeh M (2019) Plug & abandonment of offshore wells: ensuring long-term well integrity and cost-efficiency. J Pet Sci Eng 173:478–491

    Article  Google Scholar 

  73. Xia LP, Lam KM (2009) Velocity and concentration measurements in initial region of submerged round jets in stagnant environment and in coflow. J Hydro-Environ Res 3(1):21–34

    Article  Google Scholar 

  74. Xu Z, Zhang Y, Chen Y (2020) Study on flow structure of tandem multiple jets under the effect of regular waves. Ocean Eng 217:107993

    Article  Google Scholar 

  75. Xue N, Khodaparast S, Stone HA (2019) Fountain mixing in a filling box at low Reynolds numbers. Phys Rev Fluids 4(2):024501

    Article  Google Scholar 

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Acknowledgements

This research has been carried out at Université Laval. The authors wish to acknowledge the financial support of this research by PTAC-AUPRF via Grant No. PTAC-17-WARI-02 and NSERC via CRDPJ Grant No. 516022-17 (“Plug and Abandon Strategies for Canada’s Oil & Gas Wells”). The authors also express their gratitude to the Natural Sciences and Engineering Research Council of Canada, the Canada Research Chair on Modeling Complex Flows, and the Canada Foundation for Innovation (the John R. Evans Leaders Fund).

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  1. Department of Chemical Engineering, Université Laval, Québec, QC, G1V 0A6, Canada

    H. Hassanzadeh, A. Eslami & S. M. Taghavi

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  1. H. Hassanzadeh
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  3. S. M. Taghavi
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Correspondence to S. M. Taghavi.

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Hassanzadeh, H., Eslami, A. & Taghavi, S.M. On the role of the viscosity ratio on buoyant miscible jet flows. Environ Fluid Mech 22, 337–365 (2022). https://doi.org/10.1007/s10652-021-09817-2

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